Quantifying non-stationarity effects on organization of atmospheric turbulent eddy motion by Benford's law

Correspondence of Newcomb-Benford Number Law with Ecological Processes

“…The Benford distribution is an empirical observation that the first significant digits (FSD) from certain sets of naturally occurring data (i.e., with minimal human intervention) follow a discrete logarithmic probability distribution (Figure 1, Table 1). The NBL has been applied in the natural sciences for decades [11][12][13][14][15][16][17][18], with little ecological attention. Potential ecological applications arise from reports the dynamic equilibrium of physical and social systems (defined sensu Thoms et al [19] as long-term balanced fluctuations about short-term constantly changing system conditions) can be well described by the Benford FSD sequence (Table 2 [14][15][16][17][18]).…”

“…The NBL has been applied in the natural sciences for decades [11][12][13][14][15][16][17][18], with little ecological attention. Potential ecological applications arise from reports the dynamic equilibrium of physical and social systems (defined sensu Thoms et al [19] as long-term balanced fluctuations about short-term constantly changing system conditions) can be well described by the Benford FSD sequence (Table 2 [14][15][16][17][18]). The recursive theme is that interactions of system components that maintain structural stability [20] (i.e., persistence, constancy, resilience) can be represented by the informational distance between two discrete probability distributions, one from a FSD transformation of random measurements on system variables, the second from the regularity of FSD probabilities predicted by the Newcomb-Benford law (see Appendix Figures 1-4).…”

“…Atmospheric stability Li and Fu, 2016 [14] Stability of cardiac processes Seenivasan et al, 2016 [15] Persistent economic patterns Villas-Boas et al, 2015 [16] Recurrence of seismic event times Sttili, et al, 2012 [17] Quantum phase transitions De and Sen, 2011 [18]…”